Math New Years Worksheets - To The Square Inch - Free Printable
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Step-by-step solution for: Math New Years Worksheets - To The Square Inch
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Show Answer Key & Explanations
Step-by-step solution for: Math New Years Worksheets - To The Square Inch
- A: 5 × 6 = 30
- B: 7 × 2 = 14
- C: 3 × 9 = 27
- D: 4 × 4 = 16
- E: 5 × 2 = 10
- F: 9 × 9 = 81
- G: 3 × 4 = 12
- H: 7 × 8 = 56
- I: 5 × 5 = 25
- J: 2 × 3 = 6
- K: 6 × 8 = 48 → Not in final message, ignore or typo? (But 48 not in number list; likely error — use only numbers present)
- L: 10 × 8 = 80
- M: 6 × 6 = 36
- N: 8 × 5 = 40
- O: 7 × 8 = 56
- P: 1 × 4 = 4
- Q: 9 × 6 = 54 → Not in list → skip
- R: 3 × 3 = 9
- S: 4 × 8 = 32
- T: 10 × 7 = 70
- U: 6 × 3 = 18
- V: 4 × 7 = 28 → Not in list → skip
- W: 3 × 5 = 15
- X: 6 × 4 = 24 → Not in list → skip
- Y: 8 × 8 = 64 → Not in list → skip
- Z: 7 × 9 = 63 → Not in list → skip
Now map the numbers from the hidden message grid to letters:
First row: 81 56 80 80 56 15 → F H L L H W
Second row: 70 21 10 → T ? E (21 not in table → possible error? But 21 = 3×7 — not listed. Recheck.)
Wait — problem says “use the table to identify Chinese numbers” and solve. The example shows 十 x 九 = 10x9=90. So each cell is a multiplication.
But some results like 21, 27, etc., are in the message but not directly computed above? Let’s recompute ALL cells with correct values:
Recompute all 26 cells:
A: 五x六 = 5×6 = 30
B: 七x二 = 7×2 = 14
C: 三x九 = 3×9 = 27
D: 四x四 = 4×4 = 16
E: 五x二 = 5×2 = 10
F: 九x九 = 9×9 = 81
G: 三x四 = 3×4 = 12
H: 七x八 = 7×8 = 56
I: 五x五 = 5×5 = 25
J: 二x三 = 2×3 = 6
K: 六x八 = 6×8 = 48 → Not in message numbers → skip
L: 十x八 = 10×8 = 80
M: 六x六 = 6×6 = 36
N: 八x五 = 8×5 = 40
O: 七x八 = 7×8 = 56
P: 一x四 = 1×4 = 4
Q: 九x六 = 9×6 = 54 → Not in message → skip
R: 三x三 = 3×3 = 9
S: 四x八 = 4×8 = 32
T: 十x七 = 10×7 = 70
U: 六x三 = 6×3 = 18
V: 四x七 = 4×7 = 28 → Not in message → skip
W: 三x五 = 3×5 = 15
X: 六x四 = 6×4 = 24 → Not in message → skip
Y: 八x八 = 8×8 = 64 → Not in message → skip
Z: 七x九 = 7×9 = 63 → Not in message → skip
Now extract only the numbers that appear in the message grid:
Message numbers:
Row 1: 81, 56, 80, 80, 56, 15 → F, H, L, L, H, W
Row 2: 70, 21, 10 → T, ?, E → 21 not computed → maybe J? J=6, no. Wait — 21 = 3×7, but 七x三 is H? No, H is 七x八.
Wait — look at the grid: there is a cell labeled "H" which is 七x三 — I misread!
Original table:
Look again:
Cell H is labeled “七x三” — that’s 7×3 = 21
I had misassigned H as 七x八 — that’s actually O.
Correct assignments:
A: 五x六 = 5×6 = 30
B: 七x二 = 7×2 = 14
C: 三x九 = 3×9 = 27
D: 四x四 = 4×4 = 16
E: 五x二 = 5×2 = 10
F: 九x九 = 9×9 = 81
G: 三x四 = 3×4 = 12
H: 七x三 = 7×3 = 21 ← This was my error!
I: 五x五 = 5×5 = 25
J: 二x三 = 2×3 = 6
K: 六x八 = 6×8 = 48
L: 十x八 = 10×8 = 80
M: 六x六 = 6×6 = 36
N: 八x五 = 8×5 = 40
O: 七x八 = 7×8 = 56
P: 一x四 = 1×4 = 4
Q: 九x六 = 9×6 = 54
R: 三x三 = 3×3 = 9
S: 四x八 = 4×8 = 32
T: 十x七 = 10×7 = 70
U: 六x三 = 6×3 = 18
V: 四x七 = 4×7 = 28
W: 三x五 = 3×5 = 15
X: 六x四 = 6×4 = 24
Y: 八x八 = 8×8 = 64
Z: 七x九 = 7×9 = 63
Now match message numbers to letters:
Message rows:
Row 1: 81, 56, 80, 80, 56, 15 → F, O, L, L, O, W
Row 2: 70, 21, 10 → T, H, E
Row 3: 36, 30, 4 → M, A, P
Row 4: 16, 25, 9, 10, 27, 70, 25, 56, 40, 32 → D, I, R, E, C, T, I, O, N, S
Row 5: 70, 56 → T, O
Row 6: 81, 25, 40, 16 → F, I, N, D
Row 7: 70, 21, 10 → T, H, E
Row 8: 16, 9, 30, 12, 56, 40, 32 → D, R, A, G, O, N, S
Row 9: 80, 30, 25, 9 → L, A, I, R
Row 10: 32, 70, 30, 9, 70 → S, T, A, I, T
Row 11: 30, 70 → A, T
Row 12: 70, 21, 10 → T, H, E
Row 13: 14, 18, 16, 16, 21, 25, 32, 70 → B, U, D, D, H, I, S, T
Row 14: 70, 10, 36, 4 → T, E, M, P
Row 15: 80, 10 → L, E
Now read the full message:
“FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR STAY AT THE BUDDHIST TEMPLE”
Wait — let’s write it out properly:
Row 1: F O L L O W
Row 2: T H E
Row 3: M A P
Row 4: D I R E C T I O N S
Row 5: T O
Row 6: F I N D
Row 7: T H E
Row 8: D R A G O N S
Row 9: L A I R
Row 10: S T A I T → should be “STAIT”? That doesn’t make sense. Wait — row 10: 32,70,30,9,70 → S,T,A,I,T → perhaps “START”? But 9 is R, not T.
Wait — row 10: 32=S, 70=T, 30=A, 9=R, 70=T → S T A R T
Yes! I misread 9 as I — but 9 is R (from 三x三).
So row 10: S T A R T
Row 11: 30,70 → A,T → “AT”
Row 12: 70,21,10 → T,H,E
Row 13: 14=B, 18=U, 16=D, 16=D, 21=H, 25=I, 32=S, 70=T → B U D D H I S T
Row 14: 70=T, 10=E, 36=M, 4=P → T E M P
Row 15: 80=L, 10=E → L E
So full message:
“FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE”
But “START AT THE BUDDHIST TEMPLE” — and last word “LE” — perhaps “LE” is part of “TEMPLE”?
Row 14: T E M P → 70,10,36,4 → T,E,M,P
Row 15: 80,10 → L,E → so “LE” — together “TEMPLE”
Yes!
Final message:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
But the instruction says: “USE THIS AS THE STARTING POINT FOR THE MAP ON THE NEXT PAGE.” — so the hidden message gives the starting point.
The hidden message is:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
So the answer is the decoded message.
But the task says: “fill in the message spaces with the letters that match the correct answers to read the hidden message.”
So we have done that.
Final output is the message.
But since you asked for the solution and explanation, and to not add extra text, here is the decoded message as per the grid:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
- B: 7 × 2 = 14
- C: 3 × 9 = 27
- D: 4 × 4 = 16
- E: 5 × 2 = 10
- F: 9 × 9 = 81
- G: 3 × 4 = 12
- H: 7 × 8 = 56
- I: 5 × 5 = 25
- J: 2 × 3 = 6
- K: 6 × 8 = 48 → Not in final message, ignore or typo? (But 48 not in number list; likely error — use only numbers present)
- L: 10 × 8 = 80
- M: 6 × 6 = 36
- N: 8 × 5 = 40
- O: 7 × 8 = 56
- P: 1 × 4 = 4
- Q: 9 × 6 = 54 → Not in list → skip
- R: 3 × 3 = 9
- S: 4 × 8 = 32
- T: 10 × 7 = 70
- U: 6 × 3 = 18
- V: 4 × 7 = 28 → Not in list → skip
- W: 3 × 5 = 15
- X: 6 × 4 = 24 → Not in list → skip
- Y: 8 × 8 = 64 → Not in list → skip
- Z: 7 × 9 = 63 → Not in list → skip
Now map the numbers from the hidden message grid to letters:
First row: 81 56 80 80 56 15 → F H L L H W
Second row: 70 21 10 → T ? E (21 not in table → possible error? But 21 = 3×7 — not listed. Recheck.)
Wait — problem says “use the table to identify Chinese numbers” and solve. The example shows 十 x 九 = 10x9=90. So each cell is a multiplication.
But some results like 21, 27, etc., are in the message but not directly computed above? Let’s recompute ALL cells with correct values:
Recompute all 26 cells:
A: 五x六 = 5×6 = 30
B: 七x二 = 7×2 = 14
C: 三x九 = 3×9 = 27
D: 四x四 = 4×4 = 16
E: 五x二 = 5×2 = 10
F: 九x九 = 9×9 = 81
G: 三x四 = 3×4 = 12
H: 七x八 = 7×8 = 56
I: 五x五 = 5×5 = 25
J: 二x三 = 2×3 = 6
K: 六x八 = 6×8 = 48 → Not in message numbers → skip
L: 十x八 = 10×8 = 80
M: 六x六 = 6×6 = 36
N: 八x五 = 8×5 = 40
O: 七x八 = 7×8 = 56
P: 一x四 = 1×4 = 4
Q: 九x六 = 9×6 = 54 → Not in message → skip
R: 三x三 = 3×3 = 9
S: 四x八 = 4×8 = 32
T: 十x七 = 10×7 = 70
U: 六x三 = 6×3 = 18
V: 四x七 = 4×7 = 28 → Not in message → skip
W: 三x五 = 3×5 = 15
X: 六x四 = 6×4 = 24 → Not in message → skip
Y: 八x八 = 8×8 = 64 → Not in message → skip
Z: 七x九 = 7×9 = 63 → Not in message → skip
Now extract only the numbers that appear in the message grid:
Message numbers:
Row 1: 81, 56, 80, 80, 56, 15 → F, H, L, L, H, W
Row 2: 70, 21, 10 → T, ?, E → 21 not computed → maybe J? J=6, no. Wait — 21 = 3×7, but 七x三 is H? No, H is 七x八.
Wait — look at the grid: there is a cell labeled "H" which is 七x三 — I misread!
Original table:
Look again:
Cell H is labeled “七x三” — that’s 7×3 = 21
I had misassigned H as 七x八 — that’s actually O.
Correct assignments:
A: 五x六 = 5×6 = 30
B: 七x二 = 7×2 = 14
C: 三x九 = 3×9 = 27
D: 四x四 = 4×4 = 16
E: 五x二 = 5×2 = 10
F: 九x九 = 9×9 = 81
G: 三x四 = 3×4 = 12
H: 七x三 = 7×3 = 21 ← This was my error!
I: 五x五 = 5×5 = 25
J: 二x三 = 2×3 = 6
K: 六x八 = 6×8 = 48
L: 十x八 = 10×8 = 80
M: 六x六 = 6×6 = 36
N: 八x五 = 8×5 = 40
O: 七x八 = 7×8 = 56
P: 一x四 = 1×4 = 4
Q: 九x六 = 9×6 = 54
R: 三x三 = 3×3 = 9
S: 四x八 = 4×8 = 32
T: 十x七 = 10×7 = 70
U: 六x三 = 6×3 = 18
V: 四x七 = 4×7 = 28
W: 三x五 = 3×5 = 15
X: 六x四 = 6×4 = 24
Y: 八x八 = 8×8 = 64
Z: 七x九 = 7×9 = 63
Now match message numbers to letters:
Message rows:
Row 1: 81, 56, 80, 80, 56, 15 → F, O, L, L, O, W
Row 2: 70, 21, 10 → T, H, E
Row 3: 36, 30, 4 → M, A, P
Row 4: 16, 25, 9, 10, 27, 70, 25, 56, 40, 32 → D, I, R, E, C, T, I, O, N, S
Row 5: 70, 56 → T, O
Row 6: 81, 25, 40, 16 → F, I, N, D
Row 7: 70, 21, 10 → T, H, E
Row 8: 16, 9, 30, 12, 56, 40, 32 → D, R, A, G, O, N, S
Row 9: 80, 30, 25, 9 → L, A, I, R
Row 10: 32, 70, 30, 9, 70 → S, T, A, I, T
Row 11: 30, 70 → A, T
Row 12: 70, 21, 10 → T, H, E
Row 13: 14, 18, 16, 16, 21, 25, 32, 70 → B, U, D, D, H, I, S, T
Row 14: 70, 10, 36, 4 → T, E, M, P
Row 15: 80, 10 → L, E
Now read the full message:
“FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR STAY AT THE BUDDHIST TEMPLE”
Wait — let’s write it out properly:
Row 1: F O L L O W
Row 2: T H E
Row 3: M A P
Row 4: D I R E C T I O N S
Row 5: T O
Row 6: F I N D
Row 7: T H E
Row 8: D R A G O N S
Row 9: L A I R
Row 10: S T A I T → should be “STAIT”? That doesn’t make sense. Wait — row 10: 32,70,30,9,70 → S,T,A,I,T → perhaps “START”? But 9 is R, not T.
Wait — row 10: 32=S, 70=T, 30=A, 9=R, 70=T → S T A R T
Yes! I misread 9 as I — but 9 is R (from 三x三).
So row 10: S T A R T
Row 11: 30,70 → A,T → “AT”
Row 12: 70,21,10 → T,H,E
Row 13: 14=B, 18=U, 16=D, 16=D, 21=H, 25=I, 32=S, 70=T → B U D D H I S T
Row 14: 70=T, 10=E, 36=M, 4=P → T E M P
Row 15: 80=L, 10=E → L E
So full message:
“FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE”
But “START AT THE BUDDHIST TEMPLE” — and last word “LE” — perhaps “LE” is part of “TEMPLE”?
Row 14: T E M P → 70,10,36,4 → T,E,M,P
Row 15: 80,10 → L,E → so “LE” — together “TEMPLE”
Yes!
Final message:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
But the instruction says: “USE THIS AS THE STARTING POINT FOR THE MAP ON THE NEXT PAGE.” — so the hidden message gives the starting point.
The hidden message is:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
So the answer is the decoded message.
But the task says: “fill in the message spaces with the letters that match the correct answers to read the hidden message.”
So we have done that.
Final output is the message.
But since you asked for the solution and explanation, and to not add extra text, here is the decoded message as per the grid:
FOLLOW THE MAP DIRECTLY TO FIND THE DRAGONS LAIR START AT THE BUDDHIST TEMPLE
Parent Tip: Review the logic above to help your child master the concept of new year s math worksheet.